GCD of 800, 462, 615, 150 Calculator

Given Input numbers are 800, 462, 615, 150

In the factoring method, we have to find the divisors of all numbers

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 615 :

The positive integer divisors of 615 that completely divides 615 are.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

GCD of numbers is the greatest common divisor

So, the GCD (800, 462, 615, 150) = 1.

Given numbers are 800, 462, 615, 150

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 615 are 3 x 5 x 41

Prime factors of 150 are 2 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 800, 462, 615, 150

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(800, 462) = 184800

GCD(800, 462) = ( 800 x 462 ) / 184800

= 800 / 462

= 800

Step2:

LCM(2, 615) = 1230

GCD(2, 615) = ( 2 x 615 ) / 1230

= 2 / 615

= 2

Step3:

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

= 1 / 150

= 1

So, Greatest Common Divisor of 800, 462, 615, 150 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 527, 801, 783
• GCD of 594, 350, 344, 434
• GCD of 942, 395, 388, 571
• GCD of 340, 251, 589, 719
• GCD of 315, 551, 519, 755

Given numbers are 800, 462, 615, 150
The greatest common divisor of numbers 800, 462, 615, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 462, 615, 150 is 1.

1. What is the GCD of 800, 462, 615, 150?

GCD of given numbers 800, 462, 615, 150 is 1

2. How to calculate the greatest common divisor of 800, 462, 615, 150?

We can find the highest common divisor of 800, 462, 615, 150 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 800, 462, 615, 150 i.e 1.

3. How can I use the GCD of 800, 462, 615, 150Calculator?

Out the numbers 800, 462, 615, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.